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Simplifying -24 = 4u + 8(u + -6) Reorder the terms: -24 = 4u + 8(-6 + u) -24 = 4u + (-6 * 8 + u * 8) -24 = 4u + (-48 + 8u) Reorder the terms: -24 = -48 + 4u + 8u Combine like terms: 4u + 8u = 12u -24 = -48 + 12u Solving -24 = -48 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. -24 + -12u = -48 + 12u + -12u Combine like terms: 12u + -12u = 0 -24 + -12u = -48 + 0 -24 + -12u = -48 Add '24' to each side of the equation. -24 + 24 + -12u = -48 + 24 Combine like terms: -24 + 24 = 0 0 + -12u = -48 + 24 -12u = -48 + 24 Combine like terms: -48 + 24 = -24 -12u = -24 Divide each side by '-12'. u = 2 Simplifying u = 2
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